2(5c+2)=3(4c-2)

Solution for 2(5c+2)=3(4c-2) equation:

Simplifying
2(5c + 2) = 3(4c + -2)

Reorder the terms:
2(2 + 5c) = 3(4c + -2)
(2 * 2 + 5c * 2) = 3(4c + -2)
(4 + 10c) = 3(4c + -2)

Reorder the terms:
4 + 10c = 3(-2 + 4c)
4 + 10c = (-2 * 3 + 4c * 3)
4 + 10c = (-6 + 12c)

Solving
4 + 10c = -6 + 12c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-12c' to each side of the equation.
4 + 10c + -12c = -6 + 12c + -12c

Combine like terms: 10c + -12c = -2c
4 + -2c = -6 + 12c + -12c

Combine like terms: 12c + -12c = 0
4 + -2c = -6 + 0
4 + -2c = -6

Add '-4' to each side of the equation.
4 + -4 + -2c = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2c = -6 + -4
-2c = -6 + -4

Combine like terms: -6 + -4 = -10
-2c = -10

Divide each side by '-2'.
c = 5

Simplifying
c = 5